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Finding the Fourth Proportional to 737.54, 1,106.31 and 463.83

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Solution

The fourth proportional to 737.54, 1,106.31 and 463.83 is: 695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.54 : 1,106.31 = 463.83 : x
  2. Step 2: Convert to fraction form
    737.54/1,106.31 = 463.83/x
  3. Step 3: Cross multiply
    737.54x = 1,106.31 × 463.83
  4. Step 4: Simplify right side
    737.54x = 513,137.68
  5. Step 5: Solve for x
    x = 513,137.68/737.54
  6. Step 6: Final answer
    x = 695.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.